ASVAB Arithmetic Reasoning Practice Test 141725 Results

Your Results Global Average
Questions 5 5
Correct 0 3.70
Score 0% 74%

Review

1

If all of a roofing company's 9 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?

55% Answer Correctly
9
8
12
14

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 9 workers at the company now and that's enough to staff 3 crews so there are \( \frac{9}{3} \) = 3 workers on a crew. 6 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 6 x 3 = 18 total workers to staff the crews during the busy season. The company already employs 9 workers so they need to add 18 - 9 = 9 new staff for the busy season.


2

What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?

92% Answer Correctly
26
31
21
27

Solution

The equation for this sequence is:

an = an-1 + 5

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 5
a6 = 21 + 5
a6 = 26


3

What is -3c5 x 9c7?

75% Answer Correctly
6c5
-27c12
6c12
-27c7

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-3c5 x 9c7
(-3 x 9)c(5 + 7)
-27c12


4

Find the average of the following numbers: 18, 10, 16, 12.

75% Answer Correctly
11
12
13
14

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{18 + 10 + 16 + 12}{4} \) = \( \frac{56}{4} \) = 14


5

Damon loaned Ezra $1,400 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$54
$4
$13
$126

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,400
i = 0.09 x $1,400
i = $126